1313964720 has 320 divisors, whose sum is σ = 4773444480. Its totient is φ = 331776000.

The previous prime is 1313964649. The next prime is 1313964721. The reversal of 1313964720 is 274693131.

1313964720 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 9 + 647 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1313964721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3276520 + ... + 3276920.

It is an arithmetic number, because the mean of its divisors is an integer number (14917014).

Almost surely, 2^1313964720 is an apocalyptic number.

1313964720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313964720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386722240).

1313964720 is an abundant number, since it is smaller than the sum of its proper divisors (3459479760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313964720 is a wasteful number, since it uses less digits than its factorization.

1313964720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1313964720 is about 36248.6512852547. The cubic root of 1313964720 is about 1095.2869204963.

The spelling of 1313964720 in words is "one billion, three hundred thirteen million, nine hundred sixty-four thousand, seven hundred twenty".